Atkin-Lehner |
2- 17+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
5168f |
Isogeny class |
Conductor |
5168 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
3168 |
Modular degree for the optimal curve |
Δ |
-23896832 = -1 · 28 · 173 · 19 |
Discriminant |
Eigenvalues |
2- 1 2 0 -2 2 17+ 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-16037,-787057] |
[a1,a2,a3,a4,a6] |
Generators |
[3925063:22168594:24389] |
Generators of the group modulo torsion |
j |
-1781887227854848/93347 |
j-invariant |
L |
4.8781384051838 |
L(r)(E,1)/r! |
Ω |
0.21212239338729 |
Real period |
R |
11.498405065318 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1292b1 20672v1 46512bm1 129200ci1 |
Quadratic twists by: -4 8 -3 5 |